41295080920275 has 1152 divisors, whose sum is σ = 102859816550400. Its totient is φ = 15663642624000.

The previous prime is 41295080920271. The next prime is 41295080920277. The reversal of 41295080920275 is 57202908059214.

41295080920275 is a `hidden beast` number, since 4 + 1 + 29 + 508 + 0 + 92 + 0 + 27 + 5 = 666.

It is not a de Polignac number, because 41295080920275 - 2² = 41295080920271 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41295080920271) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 43884251305 + ... + 43884252245.

It is an arithmetic number, because the mean of its divisors is an integer number (89288035200).

Almost surely, 2^{41295080920275} is an apocalyptic number.

41295080920275 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41295080920275 is an abundant number, since it is smaller than the sum of its proper divisors (61564735630125).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41295080920275 is a wasteful number, since it uses less digits than its factorization.

41295080920275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

Adding to 41295080920275 its reverse (57202908059214), we get a palindrome (98497988979489).

The spelling of 41295080920275 in words is "forty-one trillion, two hundred ninety-five billion, eighty million, nine hundred twenty thousand, two hundred seventy-five".